Magma V2.19-8 Wed Aug 21 2013 01:06:29 on localhost [Seed = 525928407] Type ? for help. Type -D to quit. Loading file "L14n32722__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32722 geometric_solution 11.71766000 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162216361423 0.833698458370 0 5 7 6 0132 0132 0132 0132 1 1 1 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 1 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445300880401 0.835884510641 8 0 4 5 0132 0132 0132 1302 0 1 1 1 0 1 0 -1 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.240565060327 1.464831070001 9 5 10 0 0132 1302 0132 0132 0 1 1 1 0 0 1 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -6 0 7 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.624681879284 0.990904186103 7 11 0 2 0321 0132 0132 0132 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.160560056671 0.634291972022 10 1 2 3 2031 0132 2031 2031 1 0 1 1 0 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.167530278737 1.238265301703 6 6 1 9 1230 3012 0132 3012 1 1 1 1 0 -1 0 1 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 -6 0 0 0 0 -6 0 0 6 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745856553386 0.859401081248 4 8 11 1 0321 0321 1302 0132 1 1 1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 -7 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.035183519751 0.658314354043 2 10 9 7 0132 2031 2031 0321 1 1 1 1 0 -1 0 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372267775894 0.356790577290 3 12 6 8 0132 0132 1230 1302 1 1 1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.881693169422 0.676568218717 8 12 5 3 1302 1023 1302 0132 0 1 1 1 0 0 1 -1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 7 0 0 -7 -7 6 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275218329158 0.681537191318 7 4 12 12 2031 0132 1230 1302 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572474498582 0.506276357904 10 9 11 11 1023 0132 2031 3012 1 0 1 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572474498582 0.506276357904 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0110_11']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_0110_11'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_1001_11'], 'c_1010_10' : d['c_0101_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_0']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_6'], 'c_1100_8' : d['c_0110_11'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_0101_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_11'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_11'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0011_11'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_7, c_0101_0, c_0101_11, c_0101_12, c_0101_3, c_0101_5, c_0110_11, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 980501/93873*c_1001_11^8 + 1168009/93873*c_1001_11^7 + 1537595/62582*c_1001_11^6 + 1742774/93873*c_1001_11^5 + 998378/93873*c_1001_11^4 - 2739671/93873*c_1001_11^3 + 448639/62582*c_1001_11^2 + 19205/93873*c_1001_11 + 518105/62582, c_0011_0 - 1, c_0011_10 - 1/15*c_1001_11^8 + 2/15*c_1001_11^7 + 1/3*c_1001_11^6 + 11/15*c_1001_11^5 + 3/5*c_1001_11^4 + 11/15*c_1001_11^3 - 16/15*c_1001_11^2 - 22/15*c_1001_11 - 2/15, c_0011_11 + 1/15*c_1001_11^8 + 1/5*c_1001_11^7 + 1/3*c_1001_11^6 + 4/15*c_1001_11^5 - 4/15*c_1001_11^4 - 2/5*c_1001_11^3 - 19/15*c_1001_11^2 + 7/15*c_1001_11 + 7/15, c_0011_6 + 2/5*c_1001_11^8 + 8/15*c_1001_11^7 + 2/3*c_1001_11^6 + 3/5*c_1001_11^5 - 4/15*c_1001_11^4 - 31/15*c_1001_11^3 - 14/15*c_1001_11^2 - 1/5*c_1001_11 - 13/15, c_0011_7 - 8/15*c_1001_11^8 - 4/15*c_1001_11^7 - c_1001_11^6 - 2/15*c_1001_11^5 + 7/15*c_1001_11^4 + 38/15*c_1001_11^3 - 1/5*c_1001_11^2 + 19/15*c_1001_11 - 7/5, c_0101_0 - 8/15*c_1001_11^8 + 1/15*c_1001_11^7 - 1/3*c_1001_11^6 + 13/15*c_1001_11^5 + 4/5*c_1001_11^4 + 28/15*c_1001_11^3 - 38/15*c_1001_11^2 - 11/15*c_1001_11 - 1/15, c_0101_11 + 1/3*c_1001_11^8 + 2/3*c_1001_11^7 + c_1001_11^6 + 1/3*c_1001_11^5 + 1/3*c_1001_11^4 - 7/3*c_1001_11^3 - 2*c_1001_11^2 + 1/3*c_1001_11, c_0101_12 + 2/15*c_1001_11^8 + 1/15*c_1001_11^7 - 7/15*c_1001_11^5 - 13/15*c_1001_11^4 - 17/15*c_1001_11^3 - 1/5*c_1001_11^2 + 14/15*c_1001_11 + 3/5, c_0101_3 + 7/15*c_1001_11^8 + 1/15*c_1001_11^7 + 2/3*c_1001_11^6 - 2/15*c_1001_11^5 - 1/5*c_1001_11^4 - 32/15*c_1001_11^3 + 22/15*c_1001_11^2 - 26/15*c_1001_11 + 14/15, c_0101_5 - 1, c_0110_11 + 2/5*c_1001_11^8 + 13/15*c_1001_11^7 + 4/3*c_1001_11^6 + 3/5*c_1001_11^5 + 1/15*c_1001_11^4 - 41/15*c_1001_11^3 - 49/15*c_1001_11^2 - 1/5*c_1001_11 + 7/15, c_1001_0 - 1, c_1001_11^9 + c_1001_11^7 - c_1001_11^6 - c_1001_11^5 - 4*c_1001_11^4 + 4*c_1001_11^3 - c_1001_11^2 + c_1001_11 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.590 seconds, Total memory usage: 32.09MB